DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Coupled cluster valence bond theory for open-shell systems with application to very long range strong correlation in a polycarbene dimer

Abstract

Here, the Coupled Cluster Valence Bond (CCVB) method, previously presented for closed-shell (CS) systems, is extended to open-shell (OS) systems. The theoretical development is based on embedding the basic OS CCVB wavefunction in a fictitious singlet super-system. This approach reveals that the OS CCVB amplitude equations are quite similar to those of CS CCVB, and thus that OS CCVB requires the same level of computational effort as CS CCVB, which is an inexpensive method. We present qualitatively correct CCVB potential energy curves for all low-lying spin states of P2 and Mn2+. CCVB is successfully applied to the low-lying spin states of some model linear polycarbenes, systems that appear to be a hindrance to standard density functionals. We examine an octa-carbene dimer in a side-by-side orientation, which, in the monomer dissociation limit, exhibits maximal strong correlation over the length of the polycarbene.

Authors:
 [1];  [1]
  1. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1477258
Alternate Identifier(s):
OSTI ID: 1369578
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 147; Journal Issue: 2; Related Information: © 2017 Author(s).; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats

Small, David W., and Head-Gordon, Martin. Coupled cluster valence bond theory for open-shell systems with application to very long range strong correlation in a polycarbene dimer. United States: N. p., 2017. Web. doi:10.1063/1.4991797.
Small, David W., & Head-Gordon, Martin. Coupled cluster valence bond theory for open-shell systems with application to very long range strong correlation in a polycarbene dimer. United States. https://doi.org/10.1063/1.4991797
Small, David W., and Head-Gordon, Martin. Fri . "Coupled cluster valence bond theory for open-shell systems with application to very long range strong correlation in a polycarbene dimer". United States. https://doi.org/10.1063/1.4991797. https://www.osti.gov/servlets/purl/1477258.
@article{osti_1477258,
title = {Coupled cluster valence bond theory for open-shell systems with application to very long range strong correlation in a polycarbene dimer},
author = {Small, David W. and Head-Gordon, Martin},
abstractNote = {Here, the Coupled Cluster Valence Bond (CCVB) method, previously presented for closed-shell (CS) systems, is extended to open-shell (OS) systems. The theoretical development is based on embedding the basic OS CCVB wavefunction in a fictitious singlet super-system. This approach reveals that the OS CCVB amplitude equations are quite similar to those of CS CCVB, and thus that OS CCVB requires the same level of computational effort as CS CCVB, which is an inexpensive method. We present qualitatively correct CCVB potential energy curves for all low-lying spin states of P2 and Mn2+. CCVB is successfully applied to the low-lying spin states of some model linear polycarbenes, systems that appear to be a hindrance to standard density functionals. We examine an octa-carbene dimer in a side-by-side orientation, which, in the monomer dissociation limit, exhibits maximal strong correlation over the length of the polycarbene.},
doi = {10.1063/1.4991797},
journal = {Journal of Chemical Physics},
number = 2,
volume = 147,
place = {United States},
year = {Fri Jul 14 00:00:00 EDT 2017},
month = {Fri Jul 14 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Applications of spin-coupled valence bond theory
journal, July 1991

  • Cooper, David L.; Gerratt, Joseph.; Raimondi, Mario.
  • Chemical Reviews, Vol. 91, Issue 5
  • DOI: 10.1021/cr00005a014

Magnetic behavior of nonet tetracarbene as a model for one-dimensional organic ferromagnets
journal, February 1986

  • Sugawara, Tadashi.; Bandow, Shunji.; Kimura, Keisaku.
  • Journal of the American Chemical Society, Vol. 108, Issue 3
  • DOI: 10.1021/ja00263a003

Theoretical studies of the first‐ and second‐row transition‐metal methyls and their positive ions
journal, August 1989

  • Bauschlicher, Charles W.; Langhoff, Stephen R.; Partridge, Harry
  • The Journal of Chemical Physics, Vol. 91, Issue 4
  • DOI: 10.1063/1.456998

Systematic optimization of long-range corrected hybrid density functionals
journal, February 2008

  • Chai, Jeng-Da; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 128, Issue 8
  • DOI: 10.1063/1.2834918

Design, preparation and ESR detection of a ground-state nonet hydrocarbon as a model for one-dimensional organic ferromagnets
journal, June 1983

  • Teki, Yoshio; Takui, Takeji; Itoh, Koichi
  • Journal of the American Chemical Society, Vol. 105, Issue 11
  • DOI: 10.1021/ja00349a068

Active-space two-electron reduced-density-matrix method: Complete active-space calculations without diagonalization of the N-electron Hamiltonian
journal, October 2008

  • Gidofalvi, Gergely; Mazziotti, David A.
  • The Journal of Chemical Physics, Vol. 129, Issue 13
  • DOI: 10.1063/1.2983652

The Description of Chemical Bonding From AB Initio Calculations
journal, October 1978


Electron spin resonance of an aromatic hydrocarbon in its quintet ground state
journal, July 1967


Tractable spin-pure methods for bond breaking: Local many-electron spin-vector sets and an approximate valence bond model
journal, February 2009

  • Small, David W.; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 130, Issue 8
  • DOI: 10.1063/1.3069296

Basis Set Exchange:  A Community Database for Computational Sciences
journal, March 2007

  • Schuchardt, Karen L.; Didier, Brett T.; Elsethagen, Todd
  • Journal of Chemical Information and Modeling, Vol. 47, Issue 3
  • DOI: 10.1021/ci600510j

How to select active space for multiconfigurational quantum chemistry?
journal, April 2011

  • Veryazov, Valera; Malmqvist, Per Åke; Roos, Björn O.
  • International Journal of Quantum Chemistry, Vol. 111, Issue 13
  • DOI: 10.1002/qua.23068

Photodissociation of the dimanganese ion: Mn2+: a route to the energetics of metal clusters
journal, December 1985

  • Jarrold, Martin F.; Illies, Andreas J.; Bowers, Michael T.
  • Journal of the American Chemical Society, Vol. 107, Issue 25
  • DOI: 10.1021/ja00311a021

Quasi-degenerate perturbation theory withgeneral multiconfiguration self-consistent field reference functions
journal, June 2002

  • Nakano, Haruyuki; Uchiyama, Ryuma; Hirao, Kimihiko
  • Journal of Computational Chemistry, Vol. 23, Issue 12
  • DOI: 10.1002/jcc.10050

Assessing the Accuracy of New Geminal-Based Approaches
journal, April 2014

  • Tecmer, Paweł; Boguslawski, Katharina; Johnson, Paul A.
  • The Journal of Physical Chemistry A, Vol. 118, Issue 39
  • DOI: 10.1021/jp502127v

A Fast Implementation of Perfect Pairing and Imperfect Pairing Using the Resolution of the Identity Approximation
journal, January 2006

  • Sodt, Alex; Beran, Greg J. O.; Jung, Yousung
  • Journal of Chemical Theory and Computation, Vol. 2, Issue 2
  • DOI: 10.1021/ct050239b

Neutral, Anionic, and Cationic Manganese Dimers through Density Functional Theory
journal, March 2016


Density Functional Theory of Electronic Structure
journal, January 1996

  • Kohn, W.; Becke, A. D.; Parr, R. G.
  • The Journal of Physical Chemistry, Vol. 100, Issue 31
  • DOI: 10.1021/jp960669l

Advances in molecular quantum chemistry contained in the Q-Chem 4 program package
journal, September 2014


Organic Diradicals and Polyradicals: From Spin Coupling to Magnetism?
journal, June 1994


Møller-Plesset perturbation theory: from small molecule methods to methods for thousands of atoms: Møller-Plesset perturbation theory
journal, May 2011

  • Cremer, Dieter
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 1, Issue 4
  • DOI: 10.1002/wcms.58

Spin-Coupled Theory for ‘ N Electrons in M Orbitals’ Active Spaces
journal, June 2012

  • Karadakov, Peter B.; Cooper, David L.; Duke, Brian J.
  • The Journal of Physical Chemistry A, Vol. 116, Issue 26
  • DOI: 10.1021/jp303998h

Are atoms intrinsic to molecular electronic wavefunctions? I. The FORS model
journal, September 1982


The radical character of the acenes: A density matrix renormalization group study
journal, October 2007

  • Hachmann, Johannes; Dorando, Jonathan J.; Avilés, Michael
  • The Journal of Chemical Physics, Vol. 127, Issue 13
  • DOI: 10.1063/1.2768362

Geminal model chemistry. IV. Variational and size consistent pure spin states
journal, July 2007

  • Rassolov, Vitaly A.; Xu, Feng
  • The Journal of Chemical Physics, Vol. 127, Issue 4
  • DOI: 10.1063/1.2755738

Efficient use of the correlation consistent basis sets in resolution of the identity MP2 calculations
journal, February 2002

  • Weigend, Florian; Köhn, Andreas; Hättig, Christof
  • The Journal of Chemical Physics, Vol. 116, Issue 8
  • DOI: 10.1063/1.1445115

Spin control in organic molecules
journal, March 1991

  • Dougherty, Dennis A.
  • Accounts of Chemical Research, Vol. 24, Issue 3
  • DOI: 10.1021/ar00003a005

High-spin carbenes
journal, May 1988

  • Alexander, S. A.; Klein, D. J.
  • Journal of the American Chemical Society, Vol. 110, Issue 11
  • DOI: 10.1021/ja00219a010

SG-0: A small standard grid for DFT quadrature on large systems
journal, January 2006

  • Chien, Siu-Hung; Gill, Peter M. W.
  • Journal of Computational Chemistry, Vol. 27, Issue 6
  • DOI: 10.1002/jcc.20383

Challenges for Density Functional Theory
journal, December 2011

  • Cohen, Aron J.; Mori-Sánchez, Paula; Yang, Weitao
  • Chemical Reviews, Vol. 112, Issue 1
  • DOI: 10.1021/cr200107z

Symmetry breaking in benzene and larger aromatic molecules within generalized valence bond coupled cluster methods
journal, January 2008

  • Lawler, Keith V.; Beran, Gregory J. O.; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 128, Issue 2
  • DOI: 10.1063/1.2817600

Highly multireferenced arynes studied with large active spaces using two-electron reduced density matrices
journal, January 2009

  • Greenman, Loren; Mazziotti, David A.
  • The Journal of Chemical Physics, Vol. 130, Issue 18
  • DOI: 10.1063/1.3127402

Unusual magnetic properties of mixed-valence system: Multiconfigurational method theoretical study on Mn2+ cation
journal, October 2005

  • Wang, Bingwu; Chen, Zhida
  • The Journal of Chemical Physics, Vol. 123, Issue 13
  • DOI: 10.1063/1.2047551

Post-modern valence bond theory for strongly correlated electron spins
journal, January 2011

  • Small, David W.; Head-Gordon, Martin
  • Physical Chemistry Chemical Physics, Vol. 13, Issue 43
  • DOI: 10.1039/c1cp21832h

A new wavefunction hierarchy for interacting geminals
journal, November 2016

  • Limacher, Peter A.
  • The Journal of Chemical Physics, Vol. 145, Issue 19
  • DOI: 10.1063/1.4967367

RI-MP2: optimized auxiliary basis sets and demonstration of efficiency
journal, September 1998


A New Mean-Field Method Suitable for Strongly Correlated Electrons: Computationally Facile Antisymmetric Products of Nonorthogonal Geminals
journal, February 2013

  • Limacher, Peter A.; Ayers, Paul W.; Johnson, Paul A.
  • Journal of Chemical Theory and Computation, Vol. 9, Issue 3
  • DOI: 10.1021/ct300902c

Quintet ground states of m-dicarbene and m-dinitrene compounds
journal, September 1967

  • Wasserman, Edel.; Murray, Robert Wallace.; Yager, William A.
  • Journal of the American Chemical Society, Vol. 89, Issue 19
  • DOI: 10.1021/ja00995a066

Implementation of generalized valence bond-inspired coupled cluster theories
journal, November 2002

  • Van Voorhis, Troy; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 117, Issue 20
  • DOI: 10.1063/1.1515319

Large-Scale Variational Two-Electron Reduced-Density-Matrix-Driven Complete Active Space Self-Consistent Field Methods
journal, April 2016

  • Fosso-Tande, Jacob; Nguyen, Truong-Son; Gidofalvi, Gergely
  • Journal of Chemical Theory and Computation, Vol. 12, Issue 5
  • DOI: 10.1021/acs.jctc.6b00190

Are atoms sic to molecular electronic wavefunctions? II. Analysis of fors orbitals
journal, September 1982


Spin-coupled valence bond theory
journal, January 1988

  • Cooper, D. L.; Gerratt, J.; Raimondi, M.
  • International Reviews in Physical Chemistry, Vol. 7, Issue 1
  • DOI: 10.1080/01442358809353205

Computational quantum chemistry for single Heisenberg spin couplings made simple: Just one spin flip required
journal, October 2014

  • Mayhall, Nicholas J.; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 141, Issue 13
  • DOI: 10.1063/1.4896659

Communication: Novel quantum states of electron spins in polycarbenes from ab initio density matrix renormalization group calculations
journal, September 2010

  • Mizukami, Wataru; Kurashige, Yuki; Yanai, Takeshi
  • The Journal of Chemical Physics, Vol. 133, Issue 9
  • DOI: 10.1063/1.3476461

Density functional study of intramolecular ferromagnetic interaction through m -phenylene coupling unit (I): UBLYP, UB3LYP, and UHF calculations
journal, September 2000

  • Mitani, Masaki; Mori, Hiroki; Takano, Yu
  • The Journal of Chemical Physics, Vol. 113, Issue 10
  • DOI: 10.1063/1.1286418

Direct observation of high-spin states in manganese dimer and trimer cations by x-ray magnetic circular dichroism spectroscopy in an ion trap
journal, June 2015

  • Zamudio-Bayer, V.; Hirsch, K.; Langenberg, A.
  • The Journal of Chemical Physics, Vol. 142, Issue 23
  • DOI: 10.1063/1.4922487

Coupled-Cluster Valence-Bond Singles and Doubles for Strongly Correlated Systems: Block-Tensor Based Implementation and Application to Oligoacenes
journal, January 2017

  • Lee, Joonho; Small, David W.; Epifanovsky, Evgeny
  • Journal of Chemical Theory and Computation, Vol. 13, Issue 2
  • DOI: 10.1021/acs.jctc.6b01092

Cost-effective description of strong correlation: Efficient implementations of the perfect quadruples and perfect hextuples models
journal, October 2016

  • Lehtola, Susi; Parkhill, John; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 145, Issue 13
  • DOI: 10.1063/1.4964317

SS p G: A strongly orthogonal geminal method with relaxed strong orthogonality
journal, October 2014

  • Cagg, Brett A.; Rassolov, Vitaly A.
  • The Journal of Chemical Physics, Vol. 141, Issue 16
  • DOI: 10.1063/1.4899257

Pseudospectral contracted configuration interaction from a generalized valence bond reference
journal, August 1994

  • Murphy, Robert B.; Friesner, Richard A.; Ringnalda, Murco N.
  • The Journal of Chemical Physics, Vol. 101, Issue 4
  • DOI: 10.1063/1.467611

Quasidegenerate perturbation theory with multiconfigurational self‐consistent‐field reference functions
journal, November 1993

  • Nakano, Haruyuki
  • The Journal of Chemical Physics, Vol. 99, Issue 10
  • DOI: 10.1063/1.465674

A geometric approach to direct minimization
journal, June 2002


Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen
journal, January 1989

  • Dunning, Thom H.
  • The Journal of Chemical Physics, Vol. 90, Issue 2
  • DOI: 10.1063/1.456153

A tractable and accurate electronic structure method for static correlations: The perfect hextuples model
journal, July 2010

  • Parkhill, John A.; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 133, Issue 2
  • DOI: 10.1063/1.3456001

A geminal model chemistry
journal, October 2002

  • Rassolov, Vitaly A.
  • The Journal of Chemical Physics, Vol. 117, Issue 13
  • DOI: 10.1063/1.1503773

The ferromagnetic Mn + 2 molecule
journal, October 1988

  • Van Zee, R. J.; Weltner, W.
  • The Journal of Chemical Physics, Vol. 89, Issue 7
  • DOI: 10.1063/1.454780

Connections between coupled cluster and generalized valence bond theories
journal, November 2001

  • Van Voorhis, Troy; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 115, Issue 17
  • DOI: 10.1063/1.1406536

The Density Matrix Renormalization Group in Quantum Chemistry
journal, May 2011


Multireference Møller—Plesset perturbation theory for high-spin open-shell systems
journal, August 1992


Are atoms intrinsic to molecular electronic wavefunctions? III. Analysis of FORS configurations
journal, September 1982


Coupled Cluster Valence Bond Method: Efficient Computer Implementation and Application to Multiple Bond Dissociations and Strong Correlations in the Acenes
journal, April 2014

  • Small, David W.; Lawler, Keith V.; Head-Gordon, Martin
  • Journal of Chemical Theory and Computation, Vol. 10, Issue 5
  • DOI: 10.1021/ct500112y

The Construction and Interpretation of Mcscf Wavefunctions
journal, October 1998


The complete active space SCF (CASSCF) method in a Newton–Raphson formulation with application to the HNO molecule
journal, February 1981

  • Siegbahn, Per E. M.; Almlöf, Jan; Heiberg, Anders
  • The Journal of Chemical Physics, Vol. 74, Issue 4
  • DOI: 10.1063/1.441359

Magnetic behavior of nonet tetracarbene, m-phenylenebis((diphenylmethylen-3-yl)methylene)
journal, October 1984

  • Sugawara, Tadashi; Bandow, Shunji; Kimura, Keisaku
  • Journal of the American Chemical Society, Vol. 106, Issue 21
  • DOI: 10.1021/ja00333a073

The perfect quadruples model for electron correlation in a valence active space
journal, February 2009

  • Parkhill, John A.; Lawler, Keith; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 130, Issue 8
  • DOI: 10.1063/1.3086027

Pseudospectral generalized valence‐bond calculations: Application to methylene, ethylene, and silylene
journal, June 1990

  • Langlois, Jean‐Marc; Muller, Richard P.; Coley, Terry R.
  • The Journal of Chemical Physics, Vol. 92, Issue 12
  • DOI: 10.1063/1.458184

GVB-RP: A reliable MCSCF wave function for large systems
journal, January 1999


Size-consistent wave functions for nondynamical correlation energy: The valence active space optimized orbital coupled-cluster doubles model
journal, December 1998

  • Krylov, Anna I.; Sherrill, C. David; Byrd, Edward F. C.
  • The Journal of Chemical Physics, Vol. 109, Issue 24
  • DOI: 10.1063/1.477764

Electronic states of the manganese dimer ion probed by photodissociation spectroscopy
journal, June 2001

  • Terasaki, Akira; Matsushita, Akira; Tono, Kensuke
  • The Journal of Chemical Physics, Vol. 114, Issue 21
  • DOI: 10.1063/1.1330210

A Comparison of the Super-CI and the Newton-Raphson Scheme in the Complete Active Space SCF Method
journal, January 1980


Density‐functional thermochemistry. III. The role of exact exchange
journal, April 1993

  • Becke, Axel D.
  • The Journal of Chemical Physics, Vol. 98, Issue 7, p. 5648-5652
  • DOI: 10.1063/1.464913

A complete active space SCF method (CASSCF) using a density matrix formulated super-CI approach
journal, May 1980


From Persistent Triplet Carbenes to Persistent High-Spin Polycarbenes
journal, January 2007

  • Itoh, Tetsuji; Hirai, Katsuyuki; Tomioka, Hideo
  • Bulletin of the Chemical Society of Japan, Vol. 80, Issue 1
  • DOI: 10.1246/bcsj.80.138

Restricted active space spin-flip (RAS-SF) with arbitrary number of spin-flips
journal, January 2013

  • Bell, Franziska; Zimmerman, Paul M.; Casanova, David
  • Phys. Chem. Chem. Phys., Vol. 15, Issue 1
  • DOI: 10.1039/c2cp43293e

General atomic and molecular electronic structure system
journal, November 1993

  • Schmidt, Michael W.; Baldridge, Kim K.; Boatz, Jerry A.
  • Journal of Computational Chemistry, Vol. 14, Issue 11, p. 1347-1363
  • DOI: 10.1002/jcc.540141112

The role of databases in support of computational chemistry calculations
journal, October 1996

  • Feller, David
  • Journal of Computational Chemistry, Vol. 17, Issue 13
  • DOI: 10.1002/jcc.9

Preparation and ESR detection of a ground-state nonet hydrocarbon as a model for one-dimensional organic ferromagnets
journal, April 1986

  • Teki, Yoshio.; Takui, Takeji.; Itoh, Koichi.
  • Journal of the American Chemical Society, Vol. 108, Issue 9
  • DOI: 10.1021/ja00269a005

Size Consistency Error in the Antisymmetric Geminal Power Wave Function can be Completely Removed
journal, November 2012


Spin Symmetry and Size Consistency of Strongly Orthogonal Geminals
journal, June 2015

  • Jeszenszki, Péter; Surján, Péter R.; Szabados, Ágnes
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 7
  • DOI: 10.1021/acs.jctc.5b00333

Robust and variational fitting
journal, January 2000

  • Dunlap, Brett I.
  • Physical Chemistry Chemical Physics, Vol. 2, Issue 10
  • DOI: 10.1039/b000027m

Perspective: Advances and challenges in treating van der Waals dispersion forces in density functional theory
journal, September 2012

  • Klimeš, Jiří; Michaelides, Angelos
  • The Journal of Chemical Physics, Vol. 137, Issue 12
  • DOI: 10.1063/1.4754130

Studies of organic di-, oligo-, and polyradicals by means of their bulk magnetic properties
journal, June 1993

  • Iwamura, Hiizu; Koga, Noboru
  • Accounts of Chemical Research, Vol. 26, Issue 6
  • DOI: 10.1021/ar00030a008

Towards large-scale calculations with State-Specific Multireference Coupled Cluster methods: Studies on dodecane, naphthynes, and polycarbenes
journal, July 2012


ω B97M-V: A combinatorially optimized, range-separated hybrid, meta-GGA density functional with VV10 nonlocal correlation
journal, June 2016

  • Mardirossian, Narbe; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 144, Issue 21
  • DOI: 10.1063/1.4952647

A fusion of the closed-shell coupled cluster singles and doubles method and valence-bond theory for bond breaking
journal, September 2012

  • Small, David W.; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 137, Issue 11
  • DOI: 10.1063/1.4751485

The restricted active space self-consistent-field method, implemented with a split graph unitary group approach
journal, July 1990

  • Malmqvist, Per Aake.; Rendell, Alistair.; Roos, Bjoern O.
  • The Journal of Physical Chemistry, Vol. 94, Issue 14
  • DOI: 10.1021/j100377a011

Gaussian Basis Set for Molecular Wavefunctions Containing Third‐Row Atoms
journal, February 1970

  • Wachters, A. J. H.
  • The Journal of Chemical Physics, Vol. 52, Issue 3
  • DOI: 10.1063/1.1673095

Design, preparation, and electron spin resonance detection of a ground-state undecet (S = 5) hydrocarbon
journal, May 1990

  • Fujita, Ikuo; Teki, Yoshio; Takui, Takeji
  • Journal of the American Chemical Society, Vol. 112, Issue 10
  • DOI: 10.1021/ja00166a074

Subtractive manufacturing with geminal powers:making good use of a bad wave function
journal, December 2015


Modern valence bond theory
journal, January 1997

  • Gerratt, J.; Cooper, D. L.; Karadakov, P. B.
  • Chemical Society Reviews, Vol. 26, Issue 2
  • DOI: 10.1039/cs9972600087

Restricted active space spin-flip configuration interaction approach: theory, implementation and examples
journal, January 2009

  • Casanova, David; Head-Gordon, Martin
  • Physical Chemistry Chemical Physics, Vol. 11, Issue 42
  • DOI: 10.1039/b911513g

Does B3LYP correctly describe magnetism of manganese complexes with various oxidation numbers and various structural motifs?
journal, January 2012


Multireference Møller—Plesset method
journal, March 1992


Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density
journal, January 1988


Orbital optimization in the density matrix renormalization group, with applications to polyenes and β-carotene
journal, April 2008

  • Ghosh, Debashree; Hachmann, Johannes; Yanai, Takeshi
  • The Journal of Chemical Physics, Vol. 128, Issue 14
  • DOI: 10.1063/1.2883976

Works referencing / citing this record:

The consequences of neglecting permutation symmetry in the description of many‐electrons systems
journal, July 2018

  • Nascimento, Marco Antonio Chaer
  • International Journal of Quantum Chemistry, Vol. 119, Issue 2
  • DOI: 10.1002/qua.25765

Distinguishing artificial and essential symmetry breaking in a single determinant: approach and application to the C 60 , C 36 , and C 20 fullerenes
journal, January 2019

  • Lee, Joonho; Head-Gordon, Martin
  • Physical Chemistry Chemical Physics, Vol. 21, Issue 9
  • DOI: 10.1039/c8cp07613h